Remove Tile Laid Over Hardwood

I have recently acquired a 1960s home. While doing some work in one of the rooms, I noticed that one of the previous owners had laid the tile over hardwood. They did not do it properly with any backer board.

There are numerous broken tiles and some spots where the tile is obviously coming up.

On my project list is to replace the flooring. So what to do?

I don't think the HW is salvageable and truthfully, it sounds like a HUGE project. We must live in the home while the work is underway.

Remove Tile Laid Over Hardwood

Once you get a few up sometimes I've been able to pop them off with just a flat shovel they were so loose.
If you can figure out where the joist are you can make cuts between the joist to make it easyer to remove the flooring.
I use one of these to pop them off.http://www.thegutster.com/
Northern Tool sold then at one time.

Any way to get under the floor to see if it was just laid over the joist with no subflooring?